My favorite move is the "I commend you" approach (for lack of a better term).
The approach is braindead simple. You approach, in some cases clapping, and you express your admiration for whatever she's doing at that time. If we're talking museums, that shouldn't be hard if you know any of the displays and exhibitions going on.
I've found it's a killer approach simply because women are rarely commended by men and even less so by men they don't know.
It has two downsides:
1. You may have to know your s**t.
2. It's a big persona open. Meaning, you may have to hold up to the expectations you've set by approaching in this manner.